Titlebook: Ensembles on Configuration Space; Classical, Quantum, Michael J. W. Hall,Marcel Reginatto Book 2016 Springer International Publishing Swit

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https://doi.org/10.1007/978-3-031-37034-2space ensemble . with probability ., then it may be said to correspond to the mixture .. Mixtures for classical and quantum systems are shown to be equivalent to phase space densities and density operators, respectively, and obey corresponding classical and quantum Liouville equations. We also gener

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https://doi.org/10.1007/978-94-007-7987-7n of the momentum of a quantum state into classical and nonclassical components and choosing suitable measures of position and momentum uncertainty. The exact uncertainty relation obtained in this way is sufficiently strong to provide the basis for moving from classical mechanics to quantum mechanic

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https://doi.org/10.1007/978-3-642-65459-6 solve this problem run into various types of fundamental difficulties. The formalism of configuration-space ensembles is able to overcome many of these difficulties, allowing for a general and consistent description of interactions between quantum and classical ensembles. Such hybrid ensembles have

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The Scientific World of Copernicusapter, we consider such hybrid ensembles and focus on consistency requirements for models of quantum-classical interactions. We show how the configuration ensemble approach is able to satisfy desirable properties such as a Lie algebra of observables and Ehrenfest relations, while evading no-go theor

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0168-1222 , allowing for consistent descriptions of quantum systems interacting with classical measurement devices and quantum matter fields interacting gravitationally with a classical spacetime..978-3-319-81692-0978-3-319-34166-8Series ISSN 0168-1222 Series E-ISSN 2365-6425